Atkin-Lehner |
2+ 3+ 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590i |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2123520 |
Modular degree for the optimal curve |
Δ |
13168448833536000 = 214 · 33 · 53 · 235 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 3 -7 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-942174,352194068] |
[a1,a2,a3,a4,a6] |
Generators |
[524:-1734:1] [-653:26569:1] |
Generators of the group modulo torsion |
j |
3425733332582428361403/487720327168000 |
j-invariant |
L |
7.25509629359 |
L(r)(E,1)/r! |
Ω |
0.3844830730324 |
Real period |
R |
0.31449569576144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76590bi1 |
Quadratic twists by: -3 |